Induced aggregation operators are more suitable for aggregating the individual preference relations into a collective fuzzy preference relation. Therefore, in this paper, we introduce the notion of some new types induced aggregation operators, namely induced interval-valued Pythagorean fuzzy ordered weighted geometric aggregation operator, induced interval-valued Pythagorean fuzzy hybrid geometric aggregation operator, induced generalized interval-valued Pythagorean fuzzy ordered weighted geometric aggregation operator and induced generalized interval-valued Pythagorean fuzzy hybrid geometric aggregation operator. Furthermore, these operators are applied to decision-making problems in which experts provide their preferences in the Pythagorean fuzzy environment to show the validity, practicality and effectiveness of the new approach. We also study the applicability in a decision-making problem concerning strategic selection of the best information system and give an illustrative example to show the effectiveness of the developed methods and operators.